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1457422416 = 243323146681
BaseRepresentation
bin101011011011110…
…1000000001010000
310202120101201201000
41112313220001100
510441100004131
6400341342000
751054612642
oct12667500120
93676351630
101457422416
1168874a03a
12348107900
131a2c35438
14db7bc892
1587e38ce6
hex56de8050

1457422416 has 80 divisors (see below), whose sum is σ = 4365256320. Its totient is φ = 464682240.

The previous prime is 1457422403. The next prime is 1457422433. The reversal of 1457422416 is 6142247541.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63405 + ... + 83276.

It is an arithmetic number, because the mean of its divisors is an integer number (54565704).

Almost surely, 21457422416 is an apocalyptic number.

1457422416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1457422416 is an abundant number, since it is smaller than the sum of its proper divisors (2907833904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1457422416 is a wasteful number, since it uses less digits than its factorization.

1457422416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146721 (or 146709 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1457422416 is about 38176.2022207553. The cubic root of 1457422416 is about 1133.7791905115.

Adding to 1457422416 its reverse (6142247541), we get a palindrome (7599669957).

The spelling of 1457422416 in words is "one billion, four hundred fifty-seven million, four hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 146681 293362 440043 586724 880086 1173448 1320129 1760172 2346896 2640258 3373663 3520344 3960387 5280516 6747326 7040688 7920774 10120989 10561032 13494652 15841548 20241978 21122064 26989304 30362967 31683096 40483956 53978608 60725934 63366192 80967912 91088901 121451868 161935824 182177802 242903736 364355604 485807472 728711208 1457422416